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luohubin

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      SUBROUTINE gensim(f,d,n,fi)
      IMPLICIT NONE
      REAL(KIND=8), DIMENSION(*) :: f
      REAL(KIND=8) :: d, fi, ff, corr
      INTEGER :: n, n1, j, n2
C
      IF(n.GE.3) THEN
         IF(MOD(n,2).EQ.0) THEN
           n1=n-1
           ff=-f(n-2)+8.d0*f(n-1)+5.d0*f(n)
           corr=ff*d/12.d0
         ELSE
           n1=n
           corr=0.d0
         ENDIF
         n2=n1-1
         ff=0.d0
         DO 20 j=2,n2,2
   20    ff=ff+(f(j-1)+4.d0*f(j)+f(j+1))
         fi=d*ff/3.d0+corr
      ELSEIF(n.EQ.2) THEN
         ff=5.d0*f(1)+8.d0*f(2)-f(3)
         fi=d*ff/12.d0
      ELSEIF(n.LE.1) THEN
         fi=0.d0
      ENDIF
C
      RETURN
      END
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luohubin

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[tex]f(x)=\int_{-\infinity}^xe^x[/tex]
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luohubin

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[tex]\Large f(x)=\int_{-\infty}^x e^{-t^2}[/tex]
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